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10321747216 = 2411223092
BaseRepresentation
bin10011001110011100…
…10101110100010000
3222122100012002022221
421213032111310100
5132114331402331
64424114510424
7513532255324
oct114716256420
928570162287
1010321747216
1144173a2500
122000895414
13c86560a41
146dcb97984
15406265711
hex267395d10

10321747216 has 45 divisors (see below), whose sum is σ = 21991220293. Its totient is φ = 4689671360.

The previous prime is 10321747211. The next prime is 10321747229. The reversal of 10321747216 is 61274712301.

The square root of 10321747216 is 101596.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8611097616 + 1710649600 = 92796^2 + 41360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10321747211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4469070 + ... + 4471378.

Almost surely, 210321747216 is an apocalyptic number.

10321747216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10321747216 is the 101596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10321747216

10321747216 is an abundant number, since it is smaller than the sum of its proper divisors (11669473077).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10321747216 is an frugal number, since it uses more digits than its factorization.

10321747216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 10321747216 in words is "ten billion, three hundred twenty-one million, seven hundred forty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2309 4618 9236 18472 25399 36944 50798 101596 203192 279389 406384 558778 1117556 2235112 4470224 5331481 10662962 21325924 42651848 58646291 85303696 117292582 234585164 469170328 645109201 938340656 1290218402 2580436804 5160873608 10321747216